Find the slope dy/dx of the polar curve r = 3 / (2 - cos(theta)) at the point (r, theta) = (3/2, pi/2)

Given polar equation is

for polar equation we use

and

plug the given value of r into these equations we get:

find derivative with respect to theta

now slope is given by formula

plug the above values into slope formula and the given angle theta = pi/2

plugging theta=pi/2 and simplifying it gives

m=0.5

Hence final answer is m=0.5

my answer is$ 12

step-by-step explanation:

because 15 -2=12